As a Trekkie, I must over-analyze; it's in my blood. The front of the saucer looks exactly like the saucer we see completely smashing the building, as if seen from the ground below. I'm willing to bet this the grand finale of the movie, too.

I have a theory why the ship is named Vengeance and that is because this ship was built to fight against the Klingons and beat them at their own game. She looks like a powerful ship and mighter the the Enterprise. My other thought is the name belongs to the Star Wars ships that the Imperials own, such as one of their Star Destoyers. This is only theory's and guess work.

Here's a theory I find somewhat likely. The Vengeance is probably a prototype, and I imagine Cumberbatch is snatching her. Hell, he might even be the one that names her Vengeance, given that he seems to be after a slice of such.

I think THIS is the ship that we see crashing into the bay and knocking buildings down in San Francisco.

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Agree.

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Me too... But this is just my interpretation of the screne from the previews that have been shown for months now.

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The weird thing is, the Vengeance is HUGE in comparison to the Enterprise, but it's real hard to get a sense of scale from the shot of it crashing into the bay. It's throwing me a bit, because it looks smaller -- assuming it is the same ship. If I had to bet, I'd say I'm 85% sure.